Atkin-Lehner |
2+ 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
7080f |
Isogeny class |
Conductor |
7080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-47790000 = -1 · 24 · 34 · 54 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55,350] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:21:1] |
Generators of the group modulo torsion |
j |
-1171019776/2986875 |
j-invariant |
L |
5.1665637322925 |
L(r)(E,1)/r! |
Ω |
1.778316782169 |
Real period |
R |
1.4526556190936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14160d1 56640b1 21240j1 35400i1 |
Quadratic twists by: -4 8 -3 5 |